Unification of Yang-Mills theory and supergravity in ten dimensions

Chapline, George; Manton, N. S.

doi:10.1016/0370-2693(83)90633-0

Cited by 505 publications

(248 citation statements)

References 8 publications

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“…Even though we skipped in this paper, we can easily couple the supersymmetric Yang-Mills multiplet [4] to our supergravity within 12D [19], by modifying the superfield strength G ABC by Chern-Simons forms [20].…”

Section: Discussionmentioning

confidence: 99%

Supergravity in 10 + 2 dimensions as consistent background for superstring

Nishino

1998

Physics Letters B

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We present a consistent theory of N = 1 supergravity in twelvedimensions with the signature (10, 2). Even though the formulation uses two null vectors violating the manifest Lorentz covariance, all the superspace Bianchi identities are satisfied. After a simple dimensional reduction to ten-dimensions, this theory reproduces the N = 1 supergravity in tendimensions, supporting the consistency of the system. We also show that our supergravity can be the consistent backgrounds for heterotic or type-I superstring in Green-Schwarz formulation, by confirming the fermionic κ -invariance of the total action. This theory is supposed to be the purely N = 1 supergravity sector for the field theory limit of the recently predicted F-theory in twelve-dimensions.

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Section: Discussionmentioning

confidence: 99%

Supergravity in 10 + 2 dimensions as consistent background for superstring

Nishino

1998

Physics Letters B

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“…where M 11 is a sporadic permutation group acting on the vectors of the complex [13]. An intriguing aspect of our model for space-times with matter is that our theory seems to be intimately connected with the mathematical structure of several of the sporadic finite groups.…”

Section: Introductionmentioning

confidence: 99%

Leech Lattice Extension of the Non-Linear Schrodinger Equation Theory of Einstein Spaces

Chapline¹

2017

JMP

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Although the scalar nonlinear Schrodinger equation has provided valuable insights into how quantum mechanics might modify the classical general relativistic description of space-time, a detailed understanding of space-times with matter has remained elusive. In this paper, we propose generalizing the nonlinear Schrodinger equation theory of Einstein spaces to include matter by transplanting the 3 + 1 dimensional theory to the 24-dimensional Leech lattice plus 1 time dimension. The scalar wave function and Chern-Simons gauge potential which encode the classical Kahler potential become 11 × 11 complex matrices belonging to a 195,442 dimensional representation of the Mathieu group M 11 . This theory describes gravity coupled to internal degrees of freedom which include a supersymmetric E 6 × E 6 Yang-Mills theory of matter.

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“…One expects that gravitational physics could be different from the standard Einstein models near the Planck scale [5,6]. For example, quantum gravity or string corrections could lead to interesting cosmological applicastions [5].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic higher derivative gravity and inflationary universe

Kao

2006

Phys. Rev. D

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Stability analysis of the Kantowski-Sachs type universe in pure higher derivative gravity theory is studied in details. The non-redundant generalized Friedmann equation of the system is derived by introducing a reduced one dimensional generalized KS type action. This method greatly reduces the labor in deriving field equations of any complicate models. Existence and stability of inflationary solution in the presence of higher derivative terms are also studied in details. Implications to the choice of physical theories are discussed in details in this paper.

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Unification of Yang-Mills theory and supergravity in ten dimensions

Cited by 505 publications

References 8 publications

Supergravity in 10 + 2 dimensions as consistent background for superstring

Supergravity in 10 + 2 dimensions as consistent background for superstring

Leech Lattice Extension of the Non-Linear Schrodinger Equation Theory of Einstein Spaces

Anisotropic higher derivative gravity and inflationary universe

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